Quadratic averaging regression of expert estimates of smartphones quality
Abstract
Importance: the article is devoted to the problem of constructing ratings of homogeneous objects in terms of their quality, taking into account several particular qualities, for which it is proposed to use aggregating, idempotent, strictly monotonic, shift-invariant polynomials (SM) in accordance with the methodology described in [3], [7]. Purpose: building a quadratic SM and using it to model the overall, consumer rating of smartphones in four particular qualities – the main and front cameras, display, battery, using a test (empirical) set of nine smartphones. Checking the practical applicability of the SM-s for calculating complex quality indicators and developing recommendations for the application of this methodology.Research design: based on data from the official website of the DXOMARK quality assessment laboratory, there were built smartphones particular ratings for four qualities. Independently of DXOMARK, expert estimates of the overall (multi-criteria) rating of smartphones in the tested set were obtained. By analogy with the expert-statistical method for determining the weight coefficients, there were found the coefficients of the quadratic SM which is approximating the expert estimates of the complex quality.Results: the practical applicability of the method of modeling multi-criteria ratings by means of SM-s of the degrees above the first has been proved. An example of constructing a quadratic SM, which significantly increases the number of customized parameters of a complex quality indicator, is considered in detail. A recommendation is proposed for the development of this methodology in order to bring its objectivity to the level of responsible decision-making.
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References
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